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Finding the Third Proportional to 177,476 and 381,704

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Solution

The third proportional to 177,476 and 381,704 is: 820,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,476 : 381,704 = 381,704 : x
  2. Step 2: Convert to fraction form
    177,476/381,704 = 381,704/x
  3. Step 3: Cross multiply
    177,476x = 381,704 × 381,704
  4. Step 4: Simplify right side
    177,476x = 145,697,943,616
  5. Step 5: Solve for x
    x = 145,697,943,616/177,476
  6. Step 6: Final answer
    x = 820,944.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.